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Question

Quantitative Aptitude Question on Average

If a, b, c, d, e are five consecutive odd integers, what is their average?

A

a+4

B

abcde5\frac{abcde}{5}

C

5(a+b+c+d+e)

D

None of the above

Answer

a+4

Explanation

Solution

a, b, c, d, e are five consecutive odd numbers then,
b=a+2,c=a+4,d=a+6,e=a+8b = a + 2, c = a + 4, d = a + 6, e = a + 8
Sum of all the five consecutive number=a+b+c+d+ea+b+c+d+e
a+(a+2)+(a+4)+(a+6)+(a+8)a + (a + 2) + (a + 4) + (a + 6) + (a + 8)
=5a+20=5a + 20
Average=(Sumofalltheterms)(Totalnumberofterms)Average=\frac{(Sum of all the terms)}{(Total number of terms)}
=(5a+20)5=\frac{(5a + 20)}{5}
a+4\therefore a + 4
The correct answer is (A): a+4